Finite difference schemes for the parabolic p-Laplace equation
In: SeMA Journal, 2022
Online
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Zugriff:
We propose a new finite difference scheme for the degenerate parabolic equation ∂tu-div(|∇u|p-2∇u)=f,p≥2.Under the assumption that the data is Hölder continuous, we establish the convergence of the explicit-in-time scheme for the Cauchy problem provided a suitable stability type CFL-condition. An important advantage of our approach, is that the CFL-condition makes use of the regularity provided by the scheme to reduce the computational cost. In particular, for Lipschitz data, the CFL-condition is of the same order as for the heat equation and independent of p.
Titel: |
Finite difference schemes for the parabolic p-Laplace equation
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Autor/in / Beteiligte Person: | del Teso, Félix ; Lindgren, Erik |
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Zeitschrift: | SeMA Journal, 2022 |
Veröffentlichung: | 2022 |
Medientyp: | unknown |
ISSN: | 2254-3902 (print) ; 2281-7875 (print) |
DOI: | 10.1007/s40324-022-00316-y |
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